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Post by divingwolf on Dec 29, 2012 16:48:47 GMT -9
This graph shows the allometric relationships between average potential longevity and body length in several mammalian families. The data were collected in zoos. Body lengths do not include the tails of the animals. For Ursidae, the allometric constant is 0.73. There are seven species of Ursidae in the graph. Let y = average potential longevity of a species. Let x = body length Then the trend line is y = bx^k, where k = 0.73 for Ursidae. The graph plots ln(x) and ln(y), so the relationship becomes ln(y) = ln(b) + kln(x), a straight line with slope k. Unfortunately, the original data are not given, and it isn't clear where they are taken from. To put this in the simplest terms, species with greater body length live longest. The relationship isn't linear, but a exponential. Source: On Evolution and Fossil Mammals, by Björn Kurtén. Attachments:
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Post by divingwolf on Dec 29, 2012 18:08:06 GMT -9
This chart shows body lengths and maximum lifespans in captivity of bear species as well as the logarithms of the data. Source: Wikipedia Attachments:
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Post by divingwolf on Dec 29, 2012 18:13:15 GMT -9
This chart shows the allometric relationship between the body lengths and maximum lifespans in captivity of the eight extant bear species. The allometric constant or slope of the trend line is 0.63, pretty close to the value of 0.73 arrived at by Kurtén, 1988, based on seven species. Attachments:
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